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4051248348348 = 2234373171066063
BaseRepresentation
bin111010111101000001001…
…101111111110010111100
3112100021222110111112120000
4322331001031333302330
51012333424034121343
612341041235554300
7565456465532325
oct72750115776274
915307873445500
104051248348348
111322141093273
125551aaa5b990
1323505338a306
1410011d78744c
15705b023aed3
hex3af4137fcbc

4051248348348 has 120 divisors (see below), whose sum is σ = 10911322817472. Its totient is φ = 1309772301696.

The previous prime is 4051248348347. The next prime is 4051248348373. The reversal of 4051248348348 is 8438438421504.

4051248348348 is a `hidden beast` number, since 4 + 0 + 51 + 248 + 3 + 4 + 8 + 348 = 666.

It is a super-2 number, since 2×40512483483482 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4051248348294 and 4051248348303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4051248348347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3267165 + ... + 4333227.

Almost surely, 24051248348348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4051248348348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455661408736).

4051248348348 is an abundant number, since it is smaller than the sum of its proper divisors (6860074469124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4051248348348 is a wasteful number, since it uses less digits than its factorization.

4051248348348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066433 (or 1066422 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 4051248348348 in words is "four trillion, fifty-one billion, two hundred forty-eight million, three hundred forty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 317 324 333 444 634 666 951 999 1268 1332 1902 1998 2853 2997 3804 3996 5706 5994 8559 11412 11729 11988 17118 23458 25677 34236 35187 46916 51354 70374 102708 105561 140748 211122 316683 422244 633366 950049 1066063 1266732 1900098 2132126 3198189 3800196 4264252 6396378 9594567 12792756 19189134 28783701 38378268 39444331 57567402 78888662 86351103 115134804 118332993 157777324 172702206 236665986 337941971 345404412 354998979 473331972 675883942 709997958 1013825913 1064996937 1351767884 1419995916 2027651826 2129993874 3041477739 3194990811 4055303652 4259987748 6082955478 6389981622 9124433217 12165910956 12503852927 12779963244 18248866434 25007705854 27373299651 36497732868 37511558781 50015411708 54746599302 75023117562 109493198604 112534676343 150046235124 225069352686 337604029029 450138705372 675208058058 1012812087087 1350416116116 2025624174174 4051248348348